测度链上动力方程两点边值问题多解的存在性
Existence of Multiple Solutions for Second Order Second-Point Boundary Value Problems of Dynamics Equation on Time Scale
作者: 赵梦田 * , 李红玉 ：山东科技大学数学与系统科学学院，山东 青岛 ;
关键词: 测度链； 变号解； 特征值； Time Scale； Sign-Changing Solution； Eigenvalue
摘要:
(1)
其中
， ，T是[0，1] 上的闭集， 
。 
连续，且
。文中结合相应算子的特征值，在非线性项满足次线性条件下，得到此边值问题具有正解，负解和变号解。 Abstract: In this paper, by using the fixed point theorems with lattice structure, we discuss the existence of multiple solutions for the following second-point boundary value problems of dynamics equation on a general time scale.
(1)
where 
, Let T be a closed subset of the interval[0,1] , with
, and the function
is continuous, with 
. Combining the eigenvalues of the relevant linear operator, the existence of positive, negative and sign-changing solutions is obtained under the condition that the nonlinear term is sublinear.
文章引用: 赵梦田 , 李红玉 (2016) 测度链上动力方程两点边值问题多解的存在性。 理论数学， 6， 312-317. doi: 10.12677/PM.2016.64046
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